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Finding the Fourth Proportional to 1,282.06, 1,767.75 and 897.82

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Solution

The fourth proportional to 1,282.06, 1,767.75 and 897.82 is: 1,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.06 : 1,767.75 = 897.82 : x
  2. Step 2: Convert to fraction form
    1,282.06/1,767.75 = 897.82/x
  3. Step 3: Cross multiply
    1,282.06x = 1,767.75 × 897.82
  4. Step 4: Simplify right side
    1,282.06x = 1,587,121.31
  5. Step 5: Solve for x
    x = 1,587,121.31/1,282.06
  6. Step 6: Final answer
    x = 1,237.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.